The application of fuzzy logic in engineering applications

Abstract

In order to describe the phenomenon for which the mathematical model or input data are unknown, the fuzzy logic is applied. The fuzzy theory enables to find the most reliable solution on the assumption that the input data are fuzzed. This paper presents the possibility of application of fuzzy theory in engineering problems. The theoretical basis of the fuzzy logic and mathematical calculations on fuzzy variables are presented. The comparison of two methods used in fuzzy logic – extension principle and α-level optimization are written and compared. Examples of the application of aforementioned methods for solving simple engineering problem were presented. Numerical calculations were done with the use of MATLAB program. The selection of the most reliable solution, based on finding the mass center or with the use of rank level method, was also shown.